49218624 has 224 divisors, whose sum is σ = 178653440. Its totient is φ = 12939264.

The previous prime is 49218593. The next prime is 49218647. The reversal of 49218624 is 42681294.

49218624 is a `hidden beast` number, since 4 + 9 + 21 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157092 + ... + 157404.

It is an arithmetic number, because the mean of its divisors is an integer number (797560).

Almost surely, 2^49218624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89326720).

49218624 is an abundant number, since it is smaller than the sum of its proper divisors (129434816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49218624 is a wasteful number, since it uses less digits than its factorization.

49218624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49218624 is about 7015.5986202177. The cubic root of 49218624 is about 366.4739894946.

The spelling of 49218624 in words is "forty-nine million, two hundred eighteen thousand, six hundred twenty-four".